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The exact solution of the problem is obtained by using a Green function method.
CNC-structured systems generated by pentagonal and heptagonal defects were previously studied using a Green function recursive method [14, 17].
The solution of non-self-adjoint and non-separable initial-boundary-value problems is treated by using a Green function approach.
Such problems, involving discontinuous coefficients in the governing differential equation, are formulated with an integral equation by using a Green function and the basic theory of linear integral equations.
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The solution is developed in terms of well-known tabulated functions using a Green's function approach.
As there are no boundary sources for LRaman it follows from Eq. (1) that LRaman is a linear function of QRaman and can therefore be written using a Green's function: G r,r´r´,s´) is the radiance resulting from a point source at r´ radiating in direction s´.
We model the aerofoil as an infinite half plane with a leading edge serration, and develop an analytical model using a Green's function based upon the work of Howe.
Xu (Xu et al. 2009) employed the generalized variational principles to decompose a boundary value problem with random microstructure into a slow scale deterministic problem and a fast scale stochastic one using a Green's function based multiscale method.
A standard classical argument for tackling the boundary value problem for elliptic partial differential equations is based on reformulating the equation as an integral equation by using a Green's function and then invoking the theory of integral equations.
The broadband seismograph network (F-net) operated by National Research Institute for Earth Science and Disaster Prevention NIEDdeterminesnes the focal depths of events with magnitudes larger than 3.5 using a Green's function approach (Okada et al., 2004).
The device IV and low-frequency noise estimation of the gate and drain noise spectral density and their correlation are evaluated using a Green's function method under different biasing conditions.
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